Is the past and prestent tense correct in this?

You could probably read it in a few different ways (and the context would probably let the listener know your exact meaning here), as it is a somewhat complex sentence, but I read the difference simply as follows:

I like that you made it a point to bring me food before I started working this morning.

You have already started working.

I like that you made it a point to bring me food before I start working this morning.

You have not started working yet.

I like that you made it a point to bring me food before I started working this morning

is correct. "started working this morning" is a past action

I like that you made it a point to bring me food before I start working in the morning.

is correct, but it means every morning, not just this morning.

I would like you to make it a point to bring me food before I start working this morning.

is a request about future action.

In all of these the construction "...made it a point to bring me food..." seems a little unusual, a little awkward, but there is nothing wrong with it, and I am finding it hard to explain just why i think it odd.